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Finding the Fourth Proportional to 159.33, 238.72 and 105.20

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Solution

The fourth proportional to 159.33, 238.72 and 105.20 is: 157.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.33 : 238.72 = 105.20 : x
  2. Step 2: Convert to fraction form
    159.33/238.72 = 105.20/x
  3. Step 3: Cross multiply
    159.33x = 238.72 × 105.20
  4. Step 4: Simplify right side
    159.33x = 25,113.34
  5. Step 5: Solve for x
    x = 25,113.34/159.33
  6. Step 6: Final answer
    x = 157.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.